Posted by **jennifer** on Wednesday, September 26, 2007 at 7:39pm.

I need help with this problem: Use the five properties of exponents to simplify each of the expressions.

(y^5)^3(y^3)^2/(y^4)^4

- Algebra -
**Jack**, Wednesday, September 26, 2007 at 7:48pm
(y^5)^3(y^3)^2/(y^4)^4

Power of a power: When an exponent has an exponent, both are multiplied and applied to the base of the first.

Example: (y^5)^3 = (y^15)

When multiplying terms with exponents, the exponents are added:

(y^15)(y^6) = (y^21)

When dividing, they're subtracted:

(y^21)/(y^16) = y^5

I think this is correct; Bob or the like will come along and beat me if it isn't. :P

- Algebra -
**simon**, Friday, February 20, 2015 at 10:05am
law of indices

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